Getting her out would be relatively straightforward - not without significant risk to service people, and not cheap (a replacement C-130 will cost you north of £100m, and even if goes unscathed, you're forking out for flying hours in the tens of thousands of pounds, the crew, and the team who'll go and get her) but relatively straightforward for a state with significant military capabilities, a footprint in the region, a working relationship with local players, and a planning staff who practice this stuff regularly.
The problem is fundamentally that while a court might order a government to allow her to do something, it simply cannot order a government to take military action that it doesn't want to take. That's a very big line in the political sand, and one very few - regardless of their views about this individual - would be comfortable with.
It exposes - for the 67,896,423rd time - that policy that relies on someone just repeatedly saying what the policy is to somehow make it happen doesn't work.
By all means strip her of her citizenship, cancel her passport etc.. but then you have do something to actually ensure she never walks on UK soil again.